36672832 has 56 divisors (see below), whose sum is σ = 84043520. Its totient is φ = 15552000.

The previous prime is 36672829. The next prime is 36672847. The reversal of 36672832 is 23827663.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 36672791 and 36672800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48457 + ... + 49207.

Almost surely, 2^36672832 is an apocalyptic number.

36672832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42021760).

36672832 is an abundant number, since it is smaller than the sum of its proper divisors (47370688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36672832 is a wasteful number, since it uses less digits than its factorization.

36672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 36672832 is about 6055.8097724417. The cubic root of 36672832 is about 332.2371171041.

The spelling of 36672832 in words is "thirty-six million, six hundred seventy-two thousand, eight hundred thirty-two".